The Biaugmented pentagonal prism has one more Square pyramid than the Augmented pentagonal prism ;which is also a combination of Square pyramids and pentagonal prism.It has one pentagonal prism and two Square pyramids ,and contains two pentagonal faces ,three squares ,and eight triangular faces.

   The Biaugmented pentagonal prism is Jhonson solid  .If we want to construct this solid ,then we can construct the  Augmented pentagonal prism first ,and continue to construct another Square pyramid ;which is based on the other square of the Augmented pentagonal prism ,but the two Square pyramids can not be adjacent.